Atkin-Lehner |
2- 3- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
37926cd |
Isogeny class |
Conductor |
37926 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
-84934821888 = -1 · 211 · 39 · 72 · 43 |
Discriminant |
Eigenvalues |
2- 3- -4 7- -2 4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1093,-2005] |
[a1,a2,a3,a4,a6] |
Generators |
[27:-230:1] |
Generators of the group modulo torsion |
j |
4046066759/2377728 |
j-invariant |
L |
6.3342064531891 |
L(r)(E,1)/r! |
Ω |
0.63365364750647 |
Real period |
R |
0.22718915631434 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12642t1 37926bi1 |
Quadratic twists by: -3 -7 |